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Finding the Fourth Proportional to 219,865, 329,780.92 and 70,099.24

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Solution

The fourth proportional to 219,865, 329,780.92 and 70,099.24 is: 105,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,865 : 329,780.92 = 70,099.24 : x
  2. Step 2: Convert to fraction form
    219,865/329,780.92 = 70,099.24/x
  3. Step 3: Cross multiply
    219,865x = 329,780.92 × 70,099.24
  4. Step 4: Simplify right side
    219,865x = 23,117,391,858.50
  5. Step 5: Solve for x
    x = 23,117,391,858.50/219,865
  6. Step 6: Final answer
    x = 105,143.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.